The study of the standard map is connected to the study of pertubation theory, originated in astronomy and evolved from the necessity of predicting the positions of the planets as precisely as possible for navigational purposes.
@Albertotufaile is the phase space of the standard map somewhat reminiscent of the Jovian atmosphere: http://mathworld.wolfram.com/StandardMap.html …
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Thank you. Maybe I want the phase space itself changing. But I'm still wrapping my head around what I can do with Bessels in cuda.
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There is one important set of equations involving atmospheric convection, the Lorenz equations, but this system is not specific to the Jovian atmosphere https://en.wikipedia.org/wiki/Lorenz_system …
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I'll look at Swinney's work shortly.
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I'll search for this answer, I'll return ASAP.
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As fas as I know, it is related to the kicked rotator. But, I saw in the book of Argyris, that this kind of dynamical system is related to dynamical systems related to Astronomy: https://en.wikipedia.org/wiki/Kicked_rotator …
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Now, I will take a look in the Argyris' book.
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Well, this map was more studied in the stability of dynamical systems without dissipation, which is related to the studies of KAM Theory, Komolgotrov, Arnold, Moser.
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This theory was used by Lagrange, Laplace and Poisson to answer questions regarding the stability of the orbit of the planets, but not for their atmospheres.
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So, the standard map is reminscent of the three-body problem, involving the work of Poincaré.
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